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The circuit which has a resistance of 40-ohms and a conducive (capacitive) reactance of 10-ohms is connected in parallel with a circuit having a variable non - inductive resistance and a variable capacitance. The circuit is so adjusted that the currents in two branches are equal and displaced phase by 60 degrees. What are the unknown resistance and conducive (capacitive) reactance.

Verified Answer :

If the circuit has a resistance of 40 ohms and a capacitive reactance of 10 ohms, and the currents in two branches are equal and displaced by 60 degrees in phase, we can use the equation for parallel circuits to find the unknown resistance and capacitive reactance.
The equation for parallel circuits is:
I = I1 = I2
where I is the current flowing through the two branches and I1 and I2 are the currents flowing through branches 1 and 2 respectively.
Using this equation, we can find the unknown resistance and capacitive reactance.

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